Find, in ascending powers of $x$, the first four terms in the expansion of \({{\left( 3{{x}^{2}}-\

Question

Find, in ascending powers of $x$, the first four terms in the expansion of ${{\left( 3{{x}^{2}}-\frac{y}{2} \right)}^{5}}$.

Accepted Answer

$-\frac{1}{32}y^5+\frac{15}{16}x^2y^4-\frac{45}{4}x^4y^3+\frac{135}{2}x^6y^2$

Binomial Theorem - Binomial Expansion for Positive Integer Powers